Mark has a batting average of 0.29. Let X be the number of hits in his next 80 at bats, and let p be the sample proportion of Mark's hits. Please answer the following questions, and show your answers to 4 decimal places if necessary. a. What is the distribution of X? X - Select an answer v b. Using the distribution of X, calculate the probability that Mark has between 17 and 27 (including 17 and 27) hits? c. What is the distribution of p? p - Select an answer ♥
Mark has a batting average of 0.29. Let X be the number of hits in his next 80 at bats, and let p be the sample proportion of Mark's hits. Please answer the following questions, and show your answers to 4 decimal places if necessary. a. What is the distribution of X? X - Select an answer v b. Using the distribution of X, calculate the probability that Mark has between 17 and 27 (including 17 and 27) hits? c. What is the distribution of p? p - Select an answer ♥
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![Mark has a batting average of 0.29. Let \( X \) be the number of hits in his next 80 at bats, and let \( \hat{p} \) be the sample proportion of Mark's hits. Please answer the following questions, and show your answers to 4 decimal places if necessary.
a. What is the distribution of \( X \)?
\[ X \sim \text{Select an answer} \left( \boxed{\phantom{a}}, \boxed{\phantom{a}} \right) \]
b. Using the distribution of \( X \), calculate the probability that Mark has between 17 and 27 (including 17 and 27) hits?
\[ \boxed{\phantom{a}} \]
c. What is the distribution of \( \hat{p} \)?
\[ \hat{p} \sim \text{Select an answer} \left( \boxed{\phantom{a}}, \boxed{\phantom{a}} \right) \]
d. Using the distribution of \( \hat{p} \), calculate the probability that Mark has between 17 and 27 hits?
\[ \boxed{\phantom{a}} \]
**Notes:**
a) If you select the Binomial Distribution, the first value is the sample size, and the second value is the probability.
b) If you select the Uniform Distribution, the lower value is the lower bound, and the upper value is the upper bound of the random variable.
c) If you select the Normal Distribution, the first value should be the mean, and the second value should be the variance.
d) Differences between your answer and the actual answer are likely due to where rounding occurred within the problem.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F699994d7-16e4-474d-b91b-175e045f5d68%2F5528de2c-86a1-48cb-a791-026c6d2333d7%2F8ofqs98_processed.png&w=3840&q=75)
Transcribed Image Text:Mark has a batting average of 0.29. Let \( X \) be the number of hits in his next 80 at bats, and let \( \hat{p} \) be the sample proportion of Mark's hits. Please answer the following questions, and show your answers to 4 decimal places if necessary.
a. What is the distribution of \( X \)?
\[ X \sim \text{Select an answer} \left( \boxed{\phantom{a}}, \boxed{\phantom{a}} \right) \]
b. Using the distribution of \( X \), calculate the probability that Mark has between 17 and 27 (including 17 and 27) hits?
\[ \boxed{\phantom{a}} \]
c. What is the distribution of \( \hat{p} \)?
\[ \hat{p} \sim \text{Select an answer} \left( \boxed{\phantom{a}}, \boxed{\phantom{a}} \right) \]
d. Using the distribution of \( \hat{p} \), calculate the probability that Mark has between 17 and 27 hits?
\[ \boxed{\phantom{a}} \]
**Notes:**
a) If you select the Binomial Distribution, the first value is the sample size, and the second value is the probability.
b) If you select the Uniform Distribution, the lower value is the lower bound, and the upper value is the upper bound of the random variable.
c) If you select the Normal Distribution, the first value should be the mean, and the second value should be the variance.
d) Differences between your answer and the actual answer are likely due to where rounding occurred within the problem.
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